Atkin-Lehner |
3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
5025f |
Isogeny class |
Conductor |
5025 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
6480 |
Modular degree for the optimal curve |
Δ |
-254390625 = -1 · 35 · 56 · 67 |
Discriminant |
Eigenvalues |
-1 3- 5+ 3 0 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19863,1075842] |
[a1,a2,a3,a4,a6] |
Generators |
[81:-36:1] |
Generators of the group modulo torsion |
j |
-55467626237353/16281 |
j-invariant |
L |
3.1337838577304 |
L(r)(E,1)/r! |
Ω |
1.4048320755025 |
Real period |
R |
0.44614355158563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80400bv1 15075j1 201c1 |
Quadratic twists by: -4 -3 5 |